Weak amenability of (2N)-th dual of a Banach algebra

Subject Areas : History and biography

M. Ettefagh ^{1 *} , S. Houdfar ²

1 - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

Received: 2012-01-01 Accepted : 2012-01-01 Published : 2012-06-01

Keywords: derivation, Banach algebra, Arens porducts, Arens regularity, weak amenability,

Abstract :

In this paper by using some conditions, we show that the weak amenability of(2n)-th dual of a Banach algebra A for some $n\geq 1$ implies the weak amenability of A.

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